55437672 has 64 divisors (see below), whose sum is σ = 144115200. Its totient is φ = 17752320.

The previous prime is 55437667. The next prime is 55437709. The reversal of 55437672 is 27673455.

It is a self number, because there is not a number n which added to its sum of digits gives 55437672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199998 + ... + 200274.

It is an arithmetic number, because the mean of its divisors is an integer number (2251800).

Almost surely, 2^55437672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55437672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72057600).

55437672 is an abundant number, since it is smaller than the sum of its proper divisors (88677528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55437672 is a wasteful number, since it uses less digits than its factorization.

55437672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 55437672 is about 7445.6478562983. The cubic root of 55437672 is about 381.3013370984.

It can be divided in two parts, 554 and 37672, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 55437672 in words is "fifty-five million, four hundred thirty-seven thousand, six hundred seventy-two".